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Finding the Third Proportional to 8,062 and 15,293

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Solution

The third proportional to 8,062 and 15,293 is: 29,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062 : 15,293 = 15,293 : x
  2. Step 2: Convert to fraction form
    8,062/15,293 = 15,293/x
  3. Step 3: Cross multiply
    8,062x = 15,293 × 15,293
  4. Step 4: Simplify right side
    8,062x = 233,875,849
  5. Step 5: Solve for x
    x = 233,875,849/8,062
  6. Step 6: Final answer
    x = 29,009.66

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.